Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n

Three Polygons Have Been Divided Into Triangles By Drawing Asegment From One Vertex To All Nonadjacent

Answers

Answer 1

The relationship between the sides of the polygon and the triangle follows an arithmetic sequence

The expression that represents the number of triangles is (c) n - 2

From the diagrams, we have:

Sides           Triangles

  5                    3

  6                    4

  8                    6

The above can be represented as functions as follows:

[tex]f(5) = 3[/tex]

[tex]f(6) = 4[/tex]

[tex]f(8) = 6[/tex]

Express 6 as 8 - 2

[tex]f(8) = 8 - 2[/tex]

Express 8 as n

[tex]f(n) = n - 2[/tex]

So, the expression that represents the number of triangles is (c) n - 2

Read more about sequence and patterns at:

https://brainly.com/question/24050043


Related Questions

Part 1: Nouns
Directions: Write the plural form of each noun.
1. child
2. friend
3. baby
4. lunch
5. bike

Answers

Children

Friends

Babies

Lunches

Bikes

In the number 777.77 how does the value of 7 in the tenths place compare to the value of 7 in the hundredths place

Answers

Answer:

630

Step-by-step explanation:

the value of 7 in the tenths place is 70

the value of 7 in the hundredths place is 700

compare 700 and 70

So 700-70 = 630

Determine which of the values is a solution of 4t+6 is less than or equal to 10.

Values:
1, -8, -4, 3, 0, 7

Answers

Answer:

1, 3, 7

Step-by-step explanation:

4t + 6≤10

4t≤4

t≤1

Therefore, t can either be equal to or greater than 1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

solve for x??????????

Answers

Answer:

x=4

Step-by-step explanation:

you take both equations, and make them equal to each other. so....

5x-6=3x+2 subtract 3x from both sides

2x-6=2 then add 6 to the other side.

2x=8 then divide 8 by 2.

X=8

Examine the figure. What is the measure of angle a?

Answers

Answer:

59

Step-by-step explanation:

90+31=121

180-121=59

Answer:

a=59

basic fact:

angles on a straight line add up to 180

Step-by-step explanation:

we can ignore b for a start

31+90+a=180

121+a=180

121+59=180

a=59

You bought a magazine for $2 and some erasers for $5 each. You spent a total of $12. How many erasers did you buy?​.

Answers

Answer:

2

Step-by-step explanation:

I got it right bro man my guy I got you

The scale of a blueprint is 3 inches : 10 feet. On the blueprint, a house is 9 inches
a
long. What is the length in feet of the actual house?

Answers

Answer:

30/5=68x6=48 feet

Step-by-step explanation:

divide the demesions

If you sleep 30% of the day. how many hours did you sleep?


answer fast please

Answers

Answer:

7.2 hours

Step-by-step explanation:

24 · 0.3 = 7.2

You can walk 1/34 miles in 1/2 hour. What is your average speed?

Answers

1 3/4 x 2 = 3 1/2 mph i believe


inverse function of y = 3x​

Answers

Answer:

f-1(x) = 1/3x would be the answer

Step-by-step explanation:

Answer:

y= 1/3x

Step-by-step explanation:

inverse function perform the opposite.

3/1 becomes 1/3

Draw two lines with a slope of 1 / 2. What do you notice about the lines?

Answers

Answer:

The lines would be parallel.

Step-by-step explanation:

lines with the same slope are parallel.

The lines 1/2 should be parallel lines :)

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.

Answers

Answer:

the answer is in the site faith mate is the same question and in that site have the response np

ms. valdez is preparing dinner for 6 people she bought an 8 pund tukey to rost for dinner and plans to distribute it evenly to each of the 6 people how many pounds of turkey should each person get
a- 1 1/3
b- 1 1/6
c 3/4
1/2
1/4​

Answers

Answer:

A

Step-by-step explanation:

8/6 is also 1 1/3.

(assuming she doesn't include herself in the distribution).

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs.
Let x be the calf's age and y be the weight.
a. Write an equation in slope-intercept form that represents the situation.

Answers

The equation in slope-intercept form that represents the situation is y = 3x + 12

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let x be the calf's age in month and y be the weight.

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs. Hence it can be represented by:

(2, 18) and (8, 36). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-18=\frac{36-18}{8-2}(x-2) \\\\y=3x+12[/tex]

The equation in slope-intercept form that represents the situation is y = 3x + 12

Find out more on linear equation at: brainly.com/question/14323743

cant seem to figure this out​

Answers

Answer:

log14=1.146

log18=1.255

Step-by-step explanation:

Use log rules to break up the given logs, to be able to use the information give

Using the product rule, log14 = log(7 x 2) = log7 + log2

Substitute .845 + .301 = 1.146

Using the quotient rule, log18 = log(2 x 3 x 3) = log2 + log3 + log 3

Substite .301 + .477 + .477 = 1.255

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

[tex]12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040[/tex]

I need Help Asapp
Please!!!!!!!!!!!!!!!!!!​

Answers

Answer:

i know it is C last year i took that quiz and well i studied /j

Step-by-step explanation:

Help help help math math help

Answers

82
Hope this helps!!!
Hi dear the answer is eighty two!

Which equation describes the line shown in the graph?

Answers

Answer:

D

Step-by-step explanation:

:)

x+18-3x=20 help me out

Answers

the bbc lenth is 19 which i like in my mouth an deven my throayt

14.9 x 100 PLS HELP

Answers

Answer:

just move the decimal to the right two place, for two zeroes. The answer is 1490.

Step-by-step explanation: Just simply multiply 14.9 by 100.

Answer:

1490.Step-by-step explanation:multiply 14.9 by 100

Add the matrices. Help please

Answers

Answer:

D) [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]

Step-by-step explanation:

You basically add the corresponding entries for each row and column:

[tex]\left[\begin{array}{cc}1&-4&3&5\end{array}\right]+\left[\begin{array}{cc}-2&6&-2&4\end{array}\right]=\left[\begin{array}{cc}1+(-2)&-4+6&3+(-2)&5+4\end{array}\right]=\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]

Therefore, option D, [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex], is correct.

Help bell bell help help help

Answers

the answer is x = 22

Answer:

answer is ‐10

Step-by-step explanation:

(x+14) =(5x-74)pick like terms together (x+5x)=(+14‐74)(6x)=(‐60)divide by 6answer is ‐10

ChallengE
See attachment and answer :)​

Answers

QuestionSimplify:

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

Answer :

[tex]\displaystyle{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}[/tex]

Step-by-step-explanation:

We have given an expression.

We have to simplify the expression.

The given expression is

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16\:\times\:3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

We know that,

[tex]\displaystyle{\boxed{\pink{\sf\:\sqrt{a\:\times\:b}\:=\:\sqrt{a}\:\times\:\sqrt{b}\:}}\:\cdots\sf\:a\:,\:b\:\geq\:0}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16}\:\times\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\times\:4\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

We know that,

[tex]\displaystyle{\boxed{\blue{\sf\:\sqrt{\dfrac{a}{b}}\:=\:\dfrac{\sqrt{a}}{\sqrt{b}}\:}}\:\cdots\sf\:b\: > \:0}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{\sqrt{1}}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{1}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\sqrt{3}\:\times\:2\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\times\:2\:\sqrt{3}\:\times\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}} \\ \\\displaystyle{\implies\sf\:\dfrac{32\:\times\:3\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{8\:\times\:4\:\times\:3\:-\:5\:+\:(\:6\:\sqrt{3}\:\times\:2\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:6\:\times\:2\:\times\:\sqrt{3}\:\times\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:12\:\times\:3\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:12\:\times\:3}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:+\:12\:\times\:3\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:(\:8\:+\:3\:)\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:\times\:11\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{132\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}\:\times\:\dfrac{\sqrt{3}}{\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{2\:\times\:3}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{6}} \\ \\ \\ \displaystyle{\therefore\:\underline{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}}[/tex]

Graph the system. Use the graph to approximate
the solution of the equation.

Answers

Answer:

2.09

Step-by-step explanation:

And set them up as a function. We could set y equals to each side of it. So if we set y equals to the left-hand. Side we get Y is equal to three has to the X power.

Answer:

Plot a graph of the function y = log (x) and move it by 1 unit to the left.

Plot the graph of the function y = x ^ 2, reflect over the x-axis, and move it 10 units up.

The coordinates of the intersection of the graphs are the solution.

Solution: x=3

I think this your answer you did not really say your answer?????



1. What is the value of x that satisfies the equation? Must show all proper work/steps!

32^2x = 16^2x+8

Student's Work

Student's Answer

A. x = 4

B. x =- 4

C. x = 16

D. x = 1

Please explain all steps

Answers

[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]

Answer:

x = 16

Hope you could get an idea from here.

Doubt clarification - use comment section.

How is 8/15 written as a mixed number?​

Answers

Answer:

8/15 is already a proper fraction, therefore it cannot be converted to a mixed number. Hope this helps!

Step-by-step explanation:

write a quadratic equation in standard form.

1. -6 and 4 are solutions

2. 2 and 5 are solutions

1 and 2 are two different problems​

Answers

Answer:

  1.  x^2 +2x -24 = 0

  2.  x^2 -7x +10 = 0

Step-by-step explanation:

If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...

  (x -p)(x -q) = x^2 -(p+q) +pq

The x-term coefficient is the opposite of the sum of solutions.

The constant is the product of solutions.

This knowledge lets you write down the standard form equation with no particular effort.

1.  x^2 +2x -24 = 0

2.  x^2 -7x +10 = 0

Simplify the ratio:

42 : 28 : 21

Please explain step by step to get marked as brainliest!

Answers

Answer:

6:4:3

Step-by-step explanation:

Use 7 to simplify

Hello, would be very nice if someone could help me ! :)

A finite geometric series is the sum of a sequence of numbers. Take the sequence
1, 2, 4, 8, ..., for example. Notice that each number is twice the value of the
previous number. So, a number in the sequence can be represented by the
function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th
number in the sequence is ∑^5 n-1 2^n-1.
This equation can also be written as S5 = 2^0+2^1+ 2^2+ 2^3+ 2^4. If we multiply this equation by 2. the equation becomes 2(S5) = 2^1+ 2^2+ 2^3+ 2^4+ 2^5

What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the
form ∑^a n-1 b^n-1 ?

Answers

Answer:

Step-by-step explanation:

2S₅ - S₅ = 2⁵ - 2⁰

        S₅ = 2⁵ - 1

Sₙ = (bᵃ - 1) / (b - 1)

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